Respuesta :
Use an algebraic equation, let's say Pen is X and Pencil is Y.
250 pens + 250 pencils = 42.50 dollars
Rewrite it and it becomes 250x+250y=42.5
1 pen = 1 pencil + 11 cents
Rewrite it and it becomes x=y+11
Using both of the equations solve for X and it you get approximately .14 and .03
A pen costs 14 cents and a pencil costs 3 cents
250 pens + 250 pencils = 42.50 dollars
Rewrite it and it becomes 250x+250y=42.5
1 pen = 1 pencil + 11 cents
Rewrite it and it becomes x=y+11
Using both of the equations solve for X and it you get approximately .14 and .03
A pen costs 14 cents and a pencil costs 3 cents
Answer:the cost of each pen is $0.14
the cost of each pencil is $0.03
Step-by-step explanation:
Let x represent the cost of each pen.
Let y represent the cost of each pencil.
If someone orders 250 pens and 250 pencils and the total was $42.50. it means that
250x + 250y = 42.50 - - - - - - - - 1
The pens cost 11 cents more than the pencils. Converting 11 cents to dollars, it becomes 11/100 = $0.11. This means that
x = y + 0.11
Substituting x = y + 0.11 into equation 1, it becomes
250(y + 0.11) + 250y = 42.50
250y + 27.50 + 250y = 42.50
250y + 250y = 42.5 - 27.5
500y = 15
y = 15/500
y = 0.03
x = y + 0.11 = 0.03 + 0.11
x = $0.14
